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Simplifying 2(x + 5) + -2 = -1(2x + 1) + x Reorder the terms: 2(5 + x) + -2 = -1(2x + 1) + x (5 * 2 + x * 2) + -2 = -1(2x + 1) + x (10 + 2x) + -2 = -1(2x + 1) + x Reorder the terms: 10 + -2 + 2x = -1(2x + 1) + x Combine like terms: 10 + -2 = 8 8 + 2x = -1(2x + 1) + x Reorder the terms: 8 + 2x = -1(1 + 2x) + x 8 + 2x = (1 * -1 + 2x * -1) + x 8 + 2x = (-1 + -2x) + x Combine like terms: -2x + x = -1x 8 + 2x = -1 + -1x Solving 8 + 2x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 2x + x = -1 + -1x + x Combine like terms: 2x + x = 3x 8 + 3x = -1 + -1x + x Combine like terms: -1x + x = 0 8 + 3x = -1 + 0 8 + 3x = -1 Add '-8' to each side of the equation. 8 + -8 + 3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -1 + -8 3x = -1 + -8 Combine like terms: -1 + -8 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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